On the group-like behaviour of the Le-Murakami-Ohtsuki invariant
Quantum Algebra
2012-03-01 v2
Abstract
We study the effect of Feynman integration and diagrammatic differential operators on the structure of group-like elements in the algebra generated by coloured vertex-oriented uni-trivalent graphs. We provide applications of our results to the study of the LMO invariant, a quantum invariant of manifolds. We also indicate further situations in which our results apply and may prove useful. The enumerative approach that we adopt has a clarity that has enabled us to perceive a number of generalizations.
Keywords
Cite
@article{arxiv.math/0511452,
title = {On the group-like behaviour of the Le-Murakami-Ohtsuki invariant},
author = {David M. Jackson and Iain Moffatt and Alejandro Morales},
journal= {arXiv preprint arXiv:math/0511452},
year = {2012}
}
Comments
Typos and minor mistakes corrected